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Author : László Leindler
Publisher : Akademiai Kiads
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book Strong Approximation by Fourier Series written by László Leindler and published by Akademiai Kiads. This book was released on 1985 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leindler László
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (98 download)
Download or read book On Strong Approximation of Fourier Series written by Leindler László and published by . This book was released on 1975 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (98 download)
Download or read book Strong Approximation and the Behaviour of Fourier Series written by and published by . This book was released on 1981 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (98 download)
Download or read book Strong Approximation of Fourier Series and Structural Properties of Functions written by and published by . This book was released on 1979 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.L. Butzer
Publisher : Birkhäuser
ISBN 13 : 3034874480
Total Pages : 565 pages
Book Rating : 4.0/5 (348 download)
Download or read book Fourier Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.
Author : Дмитрий Феликсович Кузнецов
Publisher :
ISBN 13 : 9785742231622
Total Pages : 282 pages
Book Rating : 4.2/5 (316 download)
Download or read book Сильная Аппроксимация Чисел ИТО И Стохастических Интегралов Стратоновича: Подход К Решению Множественных Рядов Фурье written by Дмитрий Феликсович Кузнецов and published by . This book was released on 2011 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (98 download)
Download or read book On the Strong Summability and Approximation of Fourier Series written by and published by . This book was released on 1979 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.L. Butzer
Publisher : Birkhäuser
ISBN 13 : 3034893698
Total Pages : 461 pages
Book Rating : 4.0/5 (348 download)
Download or read book Functional Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2013-03-07 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings form a record of the lectures presented at the interna tional Conference on Functional Analysis and Approximation held at the Ober wolfach Mathematical Research Institute, August 9-16, 1980. They include 33 of the 38 invited conference papers, as well as three papers subsequently submitted in writing. Further, there is a report devoted to new and unsolved problems, based on two special sessions of the conference. The present volume is the sixth Oberwolfach Conference in Birkhauser's ISNM series to be edited at Aachen *. It is once again devoted to more significant results obtained in the wide areas of approximation theory, harmonic analysis, functional analysis, and operator theory during the past three years. Many of the papers solicited not only outline fundamental advances in their fields but also focus on interconnections between the various research areas. The papers in the present volume have been grouped into nine chapters. Chapter I, on operator theory, deals with maps on positive semidefinite opera tors, spectral bounds of semigroup operators, evolution equations of diffusion type, the spectral theory of propagators, and generalized inverses. Chapter II, on functional analysis, contains papers on modular approximation, interpolation spaces, and unconditional bases.
Author : Дмитрий Феликсович Кузнецов
Publisher :
ISBN 13 : 9785742229889
Total Pages : 249 pages
Book Rating : 4.2/5 (298 download)
Download or read book Сильное Приближение Множества ИТО И Стохастических Интегралов Стратоновича: Подход К Использованию Математических Рядов Фурье written by Дмитрий Феликсович Кузнецов and published by . This book was released on 2011 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher : Academic Press
ISBN 13 : 0080873537
Total Pages : 573 pages
Book Rating : 4.0/5 (88 download)
Download or read book Fourier Analysis and Approximation written by and published by Academic Press. This book was released on 2011-09-21 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis and Approximation
Author : Binod Chandra Tripathy
Publisher : Springer Nature
ISBN 13 : 9819732387
Total Pages : 209 pages
Book Rating : 4.8/5 (197 download)
Download or read book Operators, Inequalities and Approximation written by Binod Chandra Tripathy and published by Springer Nature. This book was released on with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roald M. Trigub
Publisher : Springer Science & Business Media
ISBN 13 : 1402028768
Total Pages : 595 pages
Book Rating : 4.4/5 (2 download)
Download or read book Fourier Analysis and Approximation of Functions written by Roald M. Trigub and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.
Author : M. Csörgo
Publisher : Academic Press
ISBN 13 : 1483268047
Total Pages : 287 pages
Book Rating : 4.4/5 (832 download)
Download or read book Strong Approximations in Probability and Statistics written by M. Csörgo and published by Academic Press. This book was released on 2014-07-10 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.
Author : A M Sedletskii
Publisher : CRC Press
ISBN 13 : 9789056992347
Total Pages : 280 pages
Book Rating : 4.9/5 (923 download)
Download or read book Fourier Transforms and Approximations written by A M Sedletskii and published by CRC Press. This book was released on 2000-09-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; Müntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line.
Author : Zbigniew Ciesielski
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.F/5 ( download)
Download or read book Approximation Theory written by Zbigniew Ciesielski and published by . This book was released on 1979 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Zhizhiashvili
Publisher : Springer Science & Business Media
ISBN 13 : 9400902832
Total Pages : 314 pages
Book Rating : 4.4/5 (9 download)
Download or read book Trigonometric Fourier Series and Their Conjugates written by L. Zhizhiashvili and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the theory of trigonometric series has been carried out for over two centuries. The results obtained have greatly influenced various fields of mathematics, mechanics, and physics. Nowadays, the theory of simple trigonometric series has been developed fully enough (we will only mention the monographs by Zygmund [15, 16] and Bari [2]). The achievements in the theory of multiple trigonometric series look rather modest as compared to those in the one-dimensional case though multiple trigonometric series seem to be a natural, interesting and promising object of investigation. We should say, however, that the past few decades have seen a more intensive development of the theory in this field. To form an idea about the theory of multiple trigonometric series, the reader can refer to the surveys by Shapiro [1], Zhizhiashvili [16], [46], Golubov [1], D'yachenko [3]. As to monographs on this topic, only that ofYanushauskas [1] is known to me. This book covers several aspects of the theory of multiple trigonometric Fourier series: the existence and properties of the conjugates and Hilbert transforms of integrable functions; convergence (pointwise and in the LP-norm, p > 0) of Fourier series and their conjugates, as well as their summability by the Cesaro (C,a), a> -1, and Abel-Poisson methods; approximating properties of Cesaro means of Fourier series and their conjugates.
Author : Z. Ciesielski
Publisher : Springer Science & Business Media
ISBN 13 : 9789027704832
Total Pages : 312 pages
Book Rating : 4.7/5 (48 download)
Download or read book Approximation Theory written by Z. Ciesielski and published by Springer Science & Business Media. This book was released on 1975-05-31 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference jointly organized by the Mathematical Institute of the Polish Academy of Science and the Institute of Adam Mickiewicz University, held in Poznan, 22-26 August 1972
